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On this page are all graphs related to C4[ 42, 2 ].

Graphs which this one covers

     2-fold cover of C4[ 21, 1 ] = C_ 21(1, 8)

Graphs which cover this one

     2-fold covered by C4[ 84, 2 ] = C_ 84(1, 13)

     2-fold covered by C4[ 84, 3 ] = C_ 84(1, 29)

     2-fold covered by C4[ 84, 4 ] = {4, 4}_< 10, 4>

     2-fold covered by C4[ 84, 21 ] = SDD(C_ 21(1, 8))

     3-fold covered by C4[ 126, 2 ] = C_126(1, 55)

     3-fold covered by C4[ 126, 3 ] = DW( 42, 3)

     4-fold covered by C4[ 168, 2 ] = C_168(1, 13)

     4-fold covered by C4[ 168, 3 ] = C_168(1, 29)

     4-fold covered by C4[ 168, 6 ] = C_168(1, 55)

     4-fold covered by C4[ 168, 7 ] = C_168(1, 71)

     4-fold covered by C4[ 168, 8 ] = {4, 4}_[ 14, 6]

     4-fold covered by C4[ 168, 10 ] = PS( 14, 24; 5)

     4-fold covered by C4[ 168, 11 ] = PS( 14, 24; 7)

     4-fold covered by C4[ 168, 22 ] = PL(MSY( 4, 21, 13, 0))

     4-fold covered by C4[ 168, 23 ] = PL(MC3( 4, 21, 1, 20, 8, 0, 1), [4^21, 42^2])

     4-fold covered by C4[ 168, 28 ] = PL(WH_ 28( 2, 0, 5, 9), [3^28, 14^6])

     4-fold covered by C4[ 168, 29 ] = KE_42(1,17,14,3,13)

     4-fold covered by C4[ 168, 30 ] = PL(Curtain_21(1,8,13,20,21),[4^21,6^14])

     4-fold covered by C4[ 168, 31 ] = PL(Curtain_21(1,9,1,2,14),[4^21,14^6])

     4-fold covered by C4[ 168, 32 ] = PL(BC_42({ 0, 21 }, { 1, 8 })

     4-fold covered by C4[ 168, 33 ] = PL(BC_42({ 0, 21 }, { 1, 34 })

     4-fold covered by C4[ 168, 56 ] = SDD(C_ 42(1, 13))

     5-fold covered by C4[ 210, 2 ] = C_210(1, 29)

     5-fold covered by C4[ 210, 4 ] = C_210(1, 71)

     5-fold covered by C4[ 210, 7 ] = PS( 14, 15; 4)

     6-fold covered by C4[ 252, 2 ] = C_252(1, 55)

     6-fold covered by C4[ 252, 3 ] = C_252(1, 71)

     6-fold covered by C4[ 252, 4 ] = DW( 84, 3)

     6-fold covered by C4[ 252, 5 ] = {4, 4}_< 16, 2>

     6-fold covered by C4[ 252, 6 ] = {4, 4}_[ 21, 6]

     6-fold covered by C4[ 252, 7 ] = {4, 4}_< 24, 18>

     6-fold covered by C4[ 252, 13 ] = PS( 12, 21; 8)

     6-fold covered by C4[ 252, 20 ] = PL(MSY( 6, 21, 13, 0))

     6-fold covered by C4[ 252, 22 ] = PL(MC3( 6, 21, 1, 13, 8, 0, 1), [6^21, 14^9])

     6-fold covered by C4[ 252, 53 ] = SDD(DW( 21, 3))

     6-fold covered by C4[ 252, 54 ] = SDD(C_ 63(1, 8))

     7-fold covered by C4[ 294, 2 ] = C_294(1, 97)

     7-fold covered by C4[ 294, 3 ] = {4, 4}_[ 21, 7]

     7-fold covered by C4[ 294, 7 ] = MSZ ( 42, 7, 13, 2)

     8-fold covered by C4[ 336, 3 ] = C_336(1, 55)

     8-fold covered by C4[ 336, 4 ] = C_336(1, 71)

     8-fold covered by C4[ 336, 5 ] = C_336(1, 97)

     8-fold covered by C4[ 336, 6 ] = C_336(1,113)

     8-fold covered by C4[ 336, 8 ] = {4, 4}_[ 14, 12]

     8-fold covered by C4[ 336, 9 ] = {4, 4}_< 20, 8>

     8-fold covered by C4[ 336, 10 ] = {4, 4}_[ 28, 6]

     8-fold covered by C4[ 336, 14 ] = PS( 28, 24; 5)

     8-fold covered by C4[ 336, 15 ] = MPS( 28, 24; 5)

     8-fold covered by C4[ 336, 18 ] = PS( 16, 21; 8)

     8-fold covered by C4[ 336, 19 ] = PS( 14, 48; 7)

     8-fold covered by C4[ 336, 24 ] = MPS( 12, 56; 13)

     8-fold covered by C4[ 336, 34 ] = PL(MSY( 4, 42, 13, 0))

     8-fold covered by C4[ 336, 35 ] = PL(MSY( 4, 42, 13, 21))

     8-fold covered by C4[ 336, 36 ] = PL(MSY( 6, 28, 13, 0))

     8-fold covered by C4[ 336, 37 ] = PL(MSY( 6, 28, 13, 14))

     8-fold covered by C4[ 336, 38 ] = PL(MSY( 8, 21, 13, 0))

     8-fold covered by C4[ 336, 39 ] = PL(MSY( 14, 12, 5, 0))

     8-fold covered by C4[ 336, 41 ] = PL(MC3( 6, 28, 1, 15, 13, 0, 1), [4^42, 6^28])

     8-fold covered by C4[ 336, 42 ] = PL(MC3( 6, 28, 1, 15, 13, 14, 1), [4^42, 12^14])

     8-fold covered by C4[ 336, 43 ] = PL(MC3( 6, 28, 1, 13, 15, 0, 1), [6^28, 14^12])

     8-fold covered by C4[ 336, 44 ] = PL(MC3( 14, 12, 1, 7, 5, 0, 1), [4^42, 14^12])

     8-fold covered by C4[ 336, 45 ] = PL(MC3( 14, 12, 1, 7, 5, 6, 1), [4^42, 28^6])

     8-fold covered by C4[ 336, 46 ] = PL(Curtain_42(1,8,13,20,42),[4^42,12^14])

     8-fold covered by C4[ 336, 47 ] = PL(Curtain_42(1,9,1,14,23),[4^42,28^6])

     8-fold covered by C4[ 336, 48 ] = PL(Curtain_42(1,13,8,20,42),[4^42,14^12])

     8-fold covered by C4[ 336, 49 ] = PL(Curtain_42(1,14,1,9,23),[4^42,6^28])

     8-fold covered by C4[ 336, 51 ] = PL(MBr( 2, 84; 13))

     8-fold covered by C4[ 336, 52 ] = UG(ATD[336,1])

     8-fold covered by C4[ 336, 65 ] = UG(ATD[336,47])

     8-fold covered by C4[ 336, 66 ] = UG(ATD[336,50])

     8-fold covered by C4[ 336, 67 ] = UG(ATD[336,53])

     8-fold covered by C4[ 336, 68 ] = UG(ATD[336,104])

     8-fold covered by C4[ 336, 70 ] = UG(ATD[336,113])

     8-fold covered by C4[ 336, 71 ] = UG(ATD[336,116])

     8-fold covered by C4[ 336, 72 ] = UG(ATD[336,121])

     8-fold covered by C4[ 336, 73 ] = UG(ATD[336,126])

     8-fold covered by C4[ 336, 107 ] = PL(ATD[12,1]#DCyc[7])

     8-fold covered by C4[ 336, 119 ] = XI(Rmap(168,47){28,6|4}_42)

     8-fold covered by C4[ 336, 120 ] = SDD(Pr_ 28( 1, 5, 9, 13))

     8-fold covered by C4[ 336, 121 ] = SDD(C_ 84(1, 29))

     8-fold covered by C4[ 336, 123 ] = SDD(C_ 84(1, 13))

     8-fold covered by C4[ 336, 124 ] = SDD({4, 4}_< 10, 4>)

     8-fold covered by C4[ 336, 135 ] = PL(CSI(W( 6, 2)[ 6^ 4], 7))

     9-fold covered by C4[ 378, 2 ] = C_378(1, 55)

     9-fold covered by C4[ 378, 3 ] = DW(126, 3)

     9-fold covered by C4[ 378, 4 ] = {4, 4}_[ 21, 9]

     9-fold covered by C4[ 378, 6 ] = PS( 42, 9; 2)

     9-fold covered by C4[ 378, 9 ] = PS( 18, 21; 8)

     9-fold covered by C4[ 378, 15 ] = PS( 6, 63; 13)

     9-fold covered by C4[ 378, 17 ] = PS( 6, 63; 20)

     9-fold covered by C4[ 378, 19 ] = AMC( 42, 3, [ 0. 1: 2. 2])

     9-fold covered by C4[ 378, 26 ] = XI(Rmap(189,4){21,6|6}_42)

     10-fold covered by C4[ 420, 2 ] = C_420(1, 29)

     10-fold covered by C4[ 420, 4 ] = C_420(1, 71)

     10-fold covered by C4[ 420, 5 ] = C_420(1,139)

     10-fold covered by C4[ 420, 7 ] = C_420(1,181)

     10-fold covered by C4[ 420, 8 ] = {4, 4}_< 22, 8>

     10-fold covered by C4[ 420, 10 ] = {4, 4}_< 38, 32>

     10-fold covered by C4[ 420, 15 ] = PS( 28, 15; 2)

     10-fold covered by C4[ 420, 16 ] = PS( 28, 15; 4)

     10-fold covered by C4[ 420, 17 ] = PS( 20, 21; 8)

     10-fold covered by C4[ 420, 18 ] = PS( 14, 60; 11)

     10-fold covered by C4[ 420, 22 ] = PS( 12, 35; 8)

     10-fold covered by C4[ 420, 28 ] = PS( 4,105; 8)

     10-fold covered by C4[ 420, 31 ] = PL(MSY( 6, 35, 6, 0))

     10-fold covered by C4[ 420, 32 ] = PL(MSY( 10, 21, 13, 0))

     10-fold covered by C4[ 420, 33 ] = PL(MSY( 14, 15, 11, 0))

     10-fold covered by C4[ 420, 34 ] = PL(MC3( 6, 35, 1, 29, 6, 0, 1), [6^35, 10^21])

     10-fold covered by C4[ 420, 36 ] = PL(MC3( 6, 35, 1, 6, 29, 0, 1), [6^35, 14^15])

     10-fold covered by C4[ 420, 37 ] = PL(MC3( 10, 21, 1, 13, 8, 0, 1), [10^21, 14^15])

     10-fold covered by C4[ 420, 56 ] = SDD(C_105(1, 34))

     10-fold covered by C4[ 420, 58 ] = SDD(C_105(1, 29))

     11-fold covered by C4[ 462, 3 ] = C_462(1,155)

     11-fold covered by C4[ 462, 4 ] = C_462(1,197)

     11-fold covered by C4[ 462, 6 ] = PS( 22, 21; 8)

     12-fold covered by C4[ 504, 2 ] = C_504(1, 55)

     12-fold covered by C4[ 504, 3 ] = C_504(1, 71)

     12-fold covered by C4[ 504, 6 ] = C_504(1,181)

     12-fold covered by C4[ 504, 7 ] = C_504(1,197)

     12-fold covered by C4[ 504, 8 ] = DW(168, 3)

     12-fold covered by C4[ 504, 9 ] = {4, 4}_[ 18, 14]

     12-fold covered by C4[ 504, 10 ] = {4, 4}_[ 21, 12]

     12-fold covered by C4[ 504, 11 ] = {4, 4}_< 27, 15>

     12-fold covered by C4[ 504, 12 ] = {4, 4}_[ 42, 6]

     12-fold covered by C4[ 504, 13 ] = {4, 4}_< 45, 39>

     12-fold covered by C4[ 504, 15 ] = PS( 42, 24; 5)

     12-fold covered by C4[ 504, 16 ] = PS( 42, 24; 7)

     12-fold covered by C4[ 504, 21 ] = PS( 24, 21; 8)

     12-fold covered by C4[ 504, 25 ] = PS( 18, 56; 13)

     12-fold covered by C4[ 504, 26 ] = PS( 18, 56; 15)

     12-fold covered by C4[ 504, 33 ] = MPS( 12, 84; 13)

     12-fold covered by C4[ 504, 48 ] = PL(MSY( 4, 63, 55, 0))

     12-fold covered by C4[ 504, 49 ] = PL(MSY( 6, 42, 13, 0))

     12-fold covered by C4[ 504, 50 ] = PL(MSY( 6, 42, 13, 21))

     12-fold covered by C4[ 504, 51 ] = PL(MSY( 12, 21, 13, 0))

     12-fold covered by C4[ 504, 52 ] = PL(MC3( 4, 63, 1, 62, 8, 0, 1), [4^63, 126^2])

     12-fold covered by C4[ 504, 54 ] = PL(MC3( 6, 42, 1, 22, 13, 7, 1), [4^63, 36^7])

     12-fold covered by C4[ 504, 55 ] = PL(MC3( 6, 42, 1, 22, 13, 28, 1), [4^63, 18^14])

     12-fold covered by C4[ 504, 57 ] = PL(MC3( 6, 42, 1, 13, 29, 0, 1), [6^42, 14^18])

     12-fold covered by C4[ 504, 58 ] = PL(MC3( 6, 42, 1, 22, 29, 12, 1), [4^63, 42^6])

     12-fold covered by C4[ 504, 59 ] = PL(MC3( 6, 42, 1, 22, 29, 33, 1), [4^63, 84^3])

     12-fold covered by C4[ 504, 62 ] = PL(WH_ 84( 2, 0, 19, 23), [3^84, 42^6])

     12-fold covered by C4[ 504, 65 ] = PL(WH_ 84( 21, 1, 12, 43), [4^63, 21^12])

     12-fold covered by C4[ 504, 66 ] = PL(WH_ 84( 21, 1, 43, 54), [4^63, 42^6])

     12-fold covered by C4[ 504, 67 ] = PL(Curtain_63(1,9,1,2,56),[4^63,14^18])

     12-fold covered by C4[ 504, 69 ] = PL(BC_126({ 0, 63 }, { 1, 118 })

     12-fold covered by C4[ 504, 90 ] = UG(ATD[504,94])

     12-fold covered by C4[ 504, 91 ] = UG(ATD[504,97])

     12-fold covered by C4[ 504, 92 ] = UG(ATD[504,100])

     12-fold covered by C4[ 504, 93 ] = UG(ATD[504,103])

     12-fold covered by C4[ 504, 133 ] = PL(ATD[6,1]#ATD[21,4])

     12-fold covered by C4[ 504, 142 ] = SDD(DW( 42, 3))

     12-fold covered by C4[ 504, 143 ] = SDD(C_126(1, 55))

     12-fold covered by C4[ 504, 149 ] = XI(Rmap(252,203){12,42|4}_21)

     12-fold covered by C4[ 504, 150 ] = XI(Rmap(252,206){28,18|4}_63)

     12-fold covered by C4[ 504, 158 ] = BGCG({4, 4}_ 6, 0, C_ 7, 1)

     12-fold covered by C4[ 504, 159 ] = BGCG({4, 4}_ 6, 0, C_ 7, 2)

     12-fold covered by C4[ 504, 161 ] = BGCG(Pr_ 12( 1, 1, 5, 5), C_ 7, 1)

     12-fold covered by C4[ 504, 163 ] = PL(CS(DW( 21, 3)[ 6^ 21], 1))

BGCG dissections of this graph

     Base Graph: C4[ 21, 1 ] = C_ 21(1, 8)   connection graph:  [K_1]

Graphs which have this one as the base graph in a BGCG dissection:

      C4[ 84, 2 ] = C_ 84(1, 13)    with connection graph  [K_1]

      C4[ 84, 3 ] = C_ 84(1, 29)    with connection graph  [K_1]

      C4[ 168, 8 ] = {4, 4}_[ 14, 6]    with connection graph  [K_2]

      C4[ 168, 10 ] = PS( 14, 24; 5)    with connection graph  [K_2]

      C4[ 168, 23 ] = PL(MC3( 4, 21, 1, 20, 8, 0, 1), [4^21, 42^2])    with connection graph  [K_2]

      C4[ 252, 13 ] = PS( 12, 21; 8)    with connection graph  [C_3]

      C4[ 252, 18 ] = PS( 6, 84; 29)    with connection graph  [C_3]

      C4[ 252, 20 ] = PL(MSY( 6, 21, 13, 0))    with connection graph  [C_3]

      C4[ 252, 22 ] = PL(MC3( 6, 21, 1, 13, 8, 0, 1), [6^21, 14^9])    with connection graph  [C_3]

      C4[ 252, 24 ] = PL(WH_ 42( 3, 0, 11, 17), [3^42, 14^9])    with connection graph  [C_3]

      C4[ 252, 30 ] = UG(ATD[252,26])    with connection graph  [C_3]

      C4[ 336, 14 ] = PS( 28, 24; 5)    with connection graph  [C_4]

      C4[ 336, 19 ] = PS( 14, 48; 7)    with connection graph  [C_4]

      C4[ 336, 34 ] = PL(MSY( 4, 42, 13, 0))    with connection graph  [C_4]

      C4[ 336, 35 ] = PL(MSY( 4, 42, 13, 21))    with connection graph  [C_4]

      C4[ 336, 36 ] = PL(MSY( 6, 28, 13, 0))    with connection graph  [C_4]

      C4[ 336, 39 ] = PL(MSY( 14, 12, 5, 0))    with connection graph  [C_4]

      C4[ 336, 44 ] = PL(MC3( 14, 12, 1, 7, 5, 0, 1), [4^42, 14^12])    with connection graph  [C_4]

      C4[ 336, 44 ] = PL(MC3( 14, 12, 1, 7, 5, 0, 1), [4^42, 14^12])    with connection graph  [K_4]

      C4[ 336, 48 ] = PL(Curtain_42(1,13,8,20,42),[4^42,14^12])    with connection graph  [K_4]

      C4[ 336, 119 ] = XI(Rmap(168,47){28,6|4}_42)    with connection graph  [K_4]

      C4[ 336, 135 ] = PL(CSI(W( 6, 2)[ 6^ 4], 7))    with connection graph  [K_4]

      C4[ 420, 16 ] = PS( 28, 15; 4)    with connection graph  [C_5]

      C4[ 420, 18 ] = PS( 14, 60; 11)    with connection graph  [C_5]

      C4[ 420, 31 ] = PL(MSY( 6, 35, 6, 0))    with connection graph  [C_5]

      C4[ 420, 33 ] = PL(MSY( 14, 15, 11, 0))    with connection graph  [C_5]

      C4[ 420, 34 ] = PL(MC3( 6, 35, 1, 29, 6, 0, 1), [6^35, 10^21])    with connection graph  [C_5]

      C4[ 420, 37 ] = PL(MC3( 10, 21, 1, 13, 8, 0, 1), [10^21, 14^15])    with connection graph  [C_5]

      C4[ 504, 30 ] = PS( 12, 84; 13)    with connection graph  [C_6]

      C4[ 504, 33 ] = MPS( 12, 84; 13)    with connection graph  [C_6]

      C4[ 504, 49 ] = PL(MSY( 6, 42, 13, 0))    with connection graph  [C_6]

      C4[ 504, 50 ] = PL(MSY( 6, 42, 13, 21))    with connection graph  [C_6]

      C4[ 504, 57 ] = PL(MC3( 6, 42, 1, 13, 29, 0, 1), [6^42, 14^18])    with connection graph  [C_6]

      C4[ 504, 57 ] = PL(MC3( 6, 42, 1, 13, 29, 0, 1), [6^42, 14^18])    with connection graph  [K_3,3]

      C4[ 504, 88 ] = UG(ATD[504,85])    with connection graph  [C_6]

      C4[ 504, 134 ] = PL(ATD[18,2]#DCyc[7])    with connection graph  [C_6]

      C4[ 504, 157 ] = PL(CSI(DW( 6, 3)[ 4^ 9], 7))    with connection graph  [K_3,3]

      C4[ 504, 158 ] = BGCG({4, 4}_ 6, 0, C_ 7, 1)    with connection graph  [K_3,3]

      C4[ 504, 161 ] = BGCG(Pr_ 12( 1, 1, 5, 5), C_ 7, 1)    with connection graph  [octahedron]

      C4[ 504, 169 ] = BGCG(UG(ATD[252,26]); K1;5)    with connection graph  [K_3,3]

Aut-Orbital graphs of this one:

      C4[ 21, 1 ] = C_ 21(1, 8)

      C4[ 42, 2 ] = C_ 42(1, 13)